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arXiv:1111.2679 [math.DG]AbstractReferencesReviewsResources

Spacelike spherically symmetric CMC hypersurfaces in Schwarzschild spacetimes (I): Construction

Kuo-Wei Lee, Yng-Ing Lee

Published 2011-11-11, updated 2011-12-07Version 2

We solve spacelike spherically symmetric constant mean curvature (SS-CMC) hypersurfaces in Schwarzschild spacetimes and analyze their asymptotic behavior near the coordinate singularity r = 2M. Furthermore, we join SS-CMC hypersurfaces in the Kruskal extension to obtain complete ones and discuss the smooth properties.

Comments: 32 pages, 10 figures
Categories: math.DG, gr-qc, math-ph, math.MP
Subjects: 83C15, 83C05
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